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Finding the Fourth Proportional to 117.24, 160.65 and 117.06

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Solution

The fourth proportional to 117.24, 160.65 and 117.06 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 160.65 = 117.06 : x
  2. Step 2: Convert to fraction form
    117.24/160.65 = 117.06/x
  3. Step 3: Cross multiply
    117.24x = 160.65 × 117.06
  4. Step 4: Simplify right side
    117.24x = 18,805.69
  5. Step 5: Solve for x
    x = 18,805.69/117.24
  6. Step 6: Final answer
    x = 160.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.